Abstract
We study gauge theories with \( \mathcal{N}=1 \) supersymmetry in 2+1 dimensions. We start by calculating the 1-loop effective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter. Using the 1-loop superpotential, we find a universal form for the phase diagrams of many such gauge theories, which is proven to persist to all orders in perturbation theory using a symmetry argument. This allows us to conjecture new dualities for \( \mathcal{N}=1 \) gauge theories with fundamental matter. We also show that these dualities are related to results in \( \mathcal{N}=2 \) supersymmetric gauge theories, which provides further evidence for them.
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Choi, C., Roček, M. & Sharon, A. Dualities and phases of 3d\( \mathcal{N}=1 \) SQCD. J. High Energ. Phys. 2018, 105 (2018). https://doi.org/10.1007/JHEP10(2018)105
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DOI: https://doi.org/10.1007/JHEP10(2018)105